106512210101 has 8 divisors (see below), whose sum is σ = 116197732224. Its totient is φ = 96827120320.

The previous prime is 106512210053. The next prime is 106512210107. The reversal of 106512210101 is 101012215601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106512210101 - 2³⁴ = 89332340917 is a prime.

It is a super-2 number, since 2×106512210101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106512210107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620756 + ... + 773538.

It is an arithmetic number, because the mean of its divisors is an integer number (14524716528).

Almost surely, 2^106512210101 is an apocalyptic number.

106512210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106512210101 is a deficient number, since it is larger than the sum of its proper divisors (9685522123).

106512210101 is a wasteful number, since it uses less digits than its factorization.

106512210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216171.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 106512210101 its reverse (101012215601), we get a palindrome (207524425702).

It can be divided in two parts, 106512 and 210101, that added together give a palindrome (316613).

The spelling of 106512210101 in words is "one hundred six billion, five hundred twelve million, two hundred ten thousand, one hundred one".